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202511

Analytical solution of linear and nonlinear ‎fractional differential equations

Article

Last updated: 23 Jan 2023

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Subjects

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Tags

Applied Mathematics

Abstract

In this paper, we apply the Adomian decomposition method (ADM) for solving linear and nonlinear fractional differential equations (FDEs). The existence and uniqueness of the solution are proved. The convergence of the series solution and the error analysis are discussed. Some applications are solved such as relaxation-oscillation equation, Basset problem and fractional Riccati differential equation.

DOI

10.21608/njbs.2021.202511

Keywords

Adomian Method, Existence, Uniqueness, Error analysis, relaxation-oscillation equation, Basset ‎problem, Riccati differential equation.‎

Authors

First Name

Eman

Last Name

Ziada

MiddleName

A. A.

Affiliation

Nile higher institute for engineering and technology

Email

eng_emanziada@yahoo.com

City

Domitta

Orcid

0000-0003-2752-7251

Volume

1

Article Issue

1

Related Issue

28542

Issue Date

2021-08-01

Receive Date

2021-11-01

Publish Date

2021-08-01

Page Start

1

Page End

13

Print ISSN

2805-2323

Online ISSN

2805-2331

Article File

NJBS_Volume 1_Issue 1_Pages 1-13.pdf

PDF . 1.5MB

Link

https://njbs.journals.ekb.eg/article_202511.html

Detail API

https://njbs.journals.ekb.eg/service?article_code=202511

Order

1

Type

Original Article

Type Code

2,143

Publication Type

Journal

Publication Title

Nile Journal of Basic Science

Publication Link

https://njbs.journals.ekb.eg/

MainTitle

-

Details

Type

Article

Created At

23 Jan 2023